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Free Convection of Composite Porous Medium in a Vertical Channel

机译:垂直通道中复合多孔介质的自由对流

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摘要

A fully developed free convection flow of immiscible fluids in a vertical channel filled with a porous medium is analyzed in the presence of source/sink. The flow is modeled using the Darcy-Brinkman-Forchheimer equation model. The viscous and Darcy dissipation terms are included in the energy equation. The channel walls are maintained at two different constant temperatures. The transport properties of both fluids are assumed to be constant. Continuous conditions for velocity, temperature, shear stress, and heat flux of both fluids at the interface are employed. The resulting coupled nonlinear equations are solved analytically using regular perturbation method and numerically using finite difference method. The velocity and temperature profiles are obtained in terms of porous parameter, Grashof number, viscosity ratio, width ratio, conductivity ratio, and heat generation or heat absorption coefficient. It is found that the presence of porous matrix and heat absorption reduces the flow field.
机译:在存在源/汇的情况下,分析了在充满多孔介质的垂直通道中不混溶流体的完全发展的自由对流。使用Darcy-Brinkman-Forchheimer方程模型对流进行建模。粘性和达西耗散项包含在能量方程中。通道壁保持在两个不同的恒定温度下。假定两种流体的传输特性是恒定的。在界面处使用两种流体的速度,温度,剪切应力和热通量的连续条件。所得的耦合非线性方程式使用正则摄动法进行解析求解,并使用有限差分法进行数值求解。根据多孔性参数,格拉斯霍夫数,粘度比,宽度比,电导率和发热或吸热系数获得速度和温度分布图。发现多孔基质和热吸收的存在降低了流场。

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